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3.2 Decay rates

The differential decay rate for is given by

 

The Dalitz plot density

 

is a Lorentz invariant function which contains in the following form,

 

with

 

The quantities are related to the ones quoted by the PDG [3] by

 

To obtain the rate for , one replaces in (3.17) by .

For convenience we also display the rates evaluated in the approximation (3.8) for the form factors,

 

We have used the physical masses [3] in evaluating these ratios and to scale the slope in both cases. The terms linear and quadratic in are proportional to and therefore strongly suppressed in the electron case. We do not include them in the denominators, because these coefficients are smaller than . The interference term is absent by angular momentum conservation. Furthermore, one has



Carlos E.Piedrafita